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Finding the Fourth Proportional to 311,169.36, 466,710.30 and 177,616.56

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Solution

The fourth proportional to 311,169.36, 466,710.30 and 177,616.56 is: 266,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,169.36 : 466,710.30 = 177,616.56 : x
  2. Step 2: Convert to fraction form
    311,169.36/466,710.30 = 177,616.56/x
  3. Step 3: Cross multiply
    311,169.36x = 466,710.30 × 177,616.56
  4. Step 4: Simplify right side
    311,169.36x = 82,895,478,002.57
  5. Step 5: Solve for x
    x = 82,895,478,002.57/311,169.36
  6. Step 6: Final answer
    x = 266,399.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.